Investigation of studies on fraction teaching in primary school

Authors

DOI:

https://doi.org/10.29329/pedper.2023.559.3

Keywords:

Primary school, fraction teaching, fractions, document analysis

Abstract

This study aimed to examine articles and theses written on ‘Fraction Instruction in Primary School’ and determine the overall state of these studies. Studies conducted within the framework of this purpose were examined according to the year they were published, their types, the distribution of participants at the class level, research methods, and topics. In this study, the document analysis method was used, a qualitative research method. Sixty studies were examined, which were determined according to criteria such as the study context being Turkey, the studies conducted with primary school students, and the fact that fraction teaching was at the centre of the studies. These studies consisted of 25 articles, 28 master’s theses, and seven doctoral theses when examined according to their types between 2002 and 2022. The distribution of these studies according to the years in which they were published revealed that the highest number of studies was conducted in 2019. It was concluded that most of the studies were conducted with fourth graders. Quantitative research methods have been predominantly used in most studies, followed by qualitative research methods and, to a lesser extent, mixed research methods. In terms of topic, most studies have focused on determining the effects of instructional practises and methods on fraction learning achievement. There has also been a concentration on the topics of ‘Students’ Representations and Modelling in Fraction Instruction’ and ‘Students’ Conceptual Misconceptions and Learning Difficulties in Fraction Instruction.’ It is believed that this research will be valuable in identifying existing gaps and proposing innovative solutions for future studies in this area.

References

Acar, N. (2010). The effect of fraction rulers on the addition and subtraction of fraction abilities of 6th grade students of elementary school. Selçuk University, Institute of Science (Unpublished master’s thesis), Konya. [Thesis No: 251433].

Akman, E. (2019). The investigation of the effects of a virtual reality application developed for fractions in the mathematics lessons of elementary school considering some different variables. Amasya University Institute of Social Sciences, (Published doctoral dissertation), Amasya. [Thesis No: 587141].

Albayrak, E. & Çiltaş, A. (2017). Descriptive content analysis of mathematical modeling and model research published in mathematics education in Turkey. International Journal of Turkish Education Sciences, 5(9), 258-283. Retrieved from https://dergipark.org.tr/tr/pub/goputeb/issue/34356/380612

Altıparmak, K. & Özüdoğru, M. (2015). Error and conceptual misconception: Fractions and part-whole relationship. International Journal of Human Sciences, 12(2), 1465-1483. https://doi.org/10.14687/ijhs.v12i2.3404

Altun, M. (2006). Developments in mathematics education. Journal of Uludag University Faculty of Education, 19(2), 223-238. Retrieved from https://dergipark.org.tr/tr/pub/uefad/issue/16684/173367

Ardahan, H. & Ersoy, Y. (2002). Teaching fractions in primary schools I: Students’ learning difficulties and common misconceptions. Mathematics activities-2002 Proceedings Book, Mathematicians Association Publication, Ankara.

Atalay, Ö. (2017). Examining of problem posing abilities using computer animations about fractions in the 4th grade students. Recep Tayyip Erdogan University Institute of Social Sciences. [Published master’s thesis]. Rize. [Thesis No: 470516].

Aykan, A. & Çalışkan, E., F. (2022). Examination of postgraduate theses related to primary school programs in Turkey. Bingöl University Journal of Social Sciences Institute, 24, 156-168. https://doi.org/10.29029/busbed.1120067

Baloğlu, M. (2001). Overcoming mathematics anxiety. Educational Sciences: Theory & Practice, 1, 59-76.

Batdal, G. (2006). The assesment of primary school first stage mathematics program in the view of teachers. İstanbul University, Institute of Social Sciences, (Unpublished master’s thesis), İstanbul. [Thesis No: 219090].

Baykul, Y. (2016). Teaching mathematics in primary education (13th edition). Pegem Akademi.

Biber, A., Ç., Tuna, A. & Aktaş, O. (2013). Students’ misconceptions about fractions and the impact of these misconceptions on fraction problem solving. Trakya Journal of Education, 3(2), 152-162. Retrieved from https://dergipark.org.tr/tr/pub/trkefd/issue/21474/230175

Bunar, N. (2011). Problem posing and solving skills of sixth grade students in sets, fractions, and four operations. Afyon Kocatepe Univesity, Institute of Social Science, (Unpublished master’s thesis), Afyon. [Tez No: 296368].

Çelebioğlu, B. (2014). The investigation of knowledge construction process of concepts in fractions. Uludağ University, Institute of Education Sciences. (Unpublished Master’s thesis), Bursa. [Tez No: 407241].

Çiltaş, A., Güler, G. & Sözbilir, M. (2012). Mathematics education research in Turkey: A content analysis study. Educational Sciences: Theory & Practice, 12(1), 565-580.

Cohen, L., Manion, L., & Morrison, K. (2007). Research methods in education (6th ed.). Routledge.

Coşkun, İ., Dündar, Ş. & Parlak, C. (2014). Examination of postgraduate theses in the field of special education in Turkey in terms of various variables (2008-2013). Ege Journal of Education, 15(2), 375-396. https://doi.org/10.12984/eed.49993

Çetin, H. & Çite, H. (2022). Examination of 4th-grade students’ fraction sense in terms of some variables. Journal of Ahmet Kelesoglu Education Faculty, 4(2), 210-223. https://doi.org/10.38151/akef.2022.13

Divrik, R. & Pilten, P. (2021). Analysis of errors made by 3rd-grade primary school students in the context of unit fraction, symbol, and model in fractions. Journal of Education, Theory and Practical Research, 7(1), 62-73. https://doi.org/10.38089/ekuad.2021.41

Epcacan C. & Ay, F. (2019). Learning difficulties of 4th-grade primary school students in fractions. International Journal of Scientific and Technological Research, 5(2), 314-327.

Ertem-Akbaş, E. (2018). Examination of the reasons and proposed solutions for mathematics anxiety starting in primary school from teachers’ perspectives. International e-Journal of Educational Studies (IEJES), 2(3), 12-25. https://doi.org/10.31458/iejes.405144

Erturna, L. (2013). An investigation of elementary school 4-7th grade students’ ability to link equivalent fractions’ symbolic and graphical representations. Abant İzzet Baysal University Institute of Educational Sciences. (Unpublished master’s thesis), Bolu. [Thesis No: 370241].

Ersoy, Y. & Ardahan, H. (2003). Teaching fractions in primary schools - II: Designing activities for recognition. Retrieved from http://www.matder.org.tr/ilkogretim-okullarinda-kesirlerin-ogretimi-ii-taniya-yonelik-etkinlikler-duzenleme/

Haser, Ç. & Ubuz, B. (2002). Conceptual and procedural performance in fractions. Education & Science, 27(126), 53-61. http://egitimvebilim.ted.org.tr/index.php/EB/article/view/5143/1225

Işık, C. & Kar, T. (2012). Analysis of problems constructed by 7th grade students in fraction addition. Elementary Education Online, 11(4), 1021-1035. Retrieved from https://dergipark.org.tr/en/pub/ilkonline/issue/8587/106703

Işık, C. & Kar, T. (2015). Investigation of problems constructed by 6th grade students regarding verbal stories related to fractions. Turkish Journal of Computer and Mathematics Education, 6(2), 230-249. https://doi.org/10.16949/turcomat.57055

İnce, S. (2008). Delusions in the subject of rational numbers in the fifth grade of primary education and proposals to eliminate these delusions. Ege University Institute of Social Sciences, (Unpublished Master’s thesis), İzmir. [Thesis No: 230961].

İncebacak-Bal, B. (2019). The effect of inquiry-based instruction on 4th grade students’ ability to use fraction language and their academic achievement. Ondokuz Mayıs University, Institute of Education Sciences, (Unpublished doctoral dissertation), Samsun. [Thesis No: 600095].

Kabaca, T. & Erdoğan, Y. (2007). Statistical analysis of thesis studies in the fields of science education, computer education, and mathematics education. Pamukkale University Journal of Education, 22(2), 54-63. Retrieved from https://dergipark.org.tr/tr/pub/pauefd/issue/11121/133006

Kara, G. (2021). Analysing misconception studies on middle school mathematics education published in Turkey. Hacettepe University, Institute of Educational Sciences. (Unpublished Master’s thesis), Ankara. [Thesis No: 665482].

Kamacı, Y. (2021). Investigating primary school fourth-grade students’ representations and modeling performances about types of fractions and unit fraction. Yıldız Technical University, Institute of Social Sciences. (Unpublished Master’s thesis), İstanbul. [Thesis No: 682959].

Kayhan, H.C. (2010). Determining of pprimary school students? mental models in the process of converting fractions each other. Gazi University Institute of Educational Sciences, (Unpublished doctoral dissertation), Ankara. [Dissertation No: 279658].

Kazak, V. (2012). Examination of verbal problem posing and problem solving skills of 6th grade secondary school students in fraction addition. Atatürk University, Institute of Educational Sciences. (Unpublished master’s thesis), Erzurum. [Thesis No: 325808].

Kılıç, Ç. & Özdaş, A. (2010). Representations used by 5th grade primary school students in solving problems requiring comparison and ordering in fractions. Kastamonu Education Journal, 18(2), 513-530. Retrieved from https://dergipark.org.tr/tr/pub/kefdergi/issue/49063/626009

Kılıçkaya, M. & Toptaş, V. (2017). Problem solving: A literature review. International Journal of Education, Technology, and Scientific Research, 2, 20-31. Retrieved from https://dergipark.org.tr/tr/pub/ijetsar/issue/29596/315479

Kocaoğlu, T. & Yenilmez, K. (2010). Errors and misconceptions in fraction problems of fifth grade students. Journal of Ziya Gökalp Faculty of Education, Dicle University, 14, 71-85. Retrieved from https://dergipark.org.tr/tr/pub/zgefd/issue/47952/606712

MoNE (2018). Mathematics curriculum (Primary school and middle school, grades 1, 2, 3, 4, 5, 6, 7, and 8). Retrieved from http://ttkb.meb.gov.tr/

Okur, M. & Çakmak-Gürel, Z. (2016). Misconceptions of 6th and 7th grade students on fractions. Erzincan University Journal of Education Faculty, 2(18), 922-952. https://doi.org/10.17556/jef.30116

Olkun, S. & Toluk-Uçar, Z. (2006). Contemporary approaches to mathematics education in primary schools: In the light of new primary education programs and teacher competencies. Ekinoks Publications.

Orhun, N. (2007). Cognitive gap between formal arithmetic and visualization in fraction operations. İnönü University Journal of Education Faculty, 8(14), 99-111. Retrieved from https://dergipark.org.tr/tr/pub/inuefd/issue/8709/108731

Önal, H. & Yorulmaz, A. (2017). Errors made by fourth grade primary school students in fractions. Journal of Research in Education and Society, 4(1), 98-113. Retrieved from https://dergipark.org.tr/tr/pub/etad/issue/29984/314564

Özaltun, S., Danacı, D. & Orbay, K. (2020). Development of the test of determining the misconceptions of sixth-grade students on the topic of fractions and an implementation. International Journal of Field Education, 6(1), 186-212. https://doi.org/10.32570/ijofe.684802

Özçakır-Sümen, Ö. (2022). Examination of the mental structures of fourth-grade students on the topic of fractions. e-Kafkas Education Research Journal, 9, 1-19. https://doi.org/10.30900/kafkasegt.948020

Özer, T. (2018). Examination of examples and exercises related to fractions in the primary school mathematics textbooks. Kastamonu University, Institute of Social Sciences, (Unpublished master’s thesis). Kastamonu. [Thesis No: 541140].

Özer, A., Karacaköylü, A. & Tekin-Sitrava, R. (2020). Analysis of the problems posed by 5th grade students on addition and subtraction with fractions. Ege Journal of Education, 21(1), 19-37. https://doi.org/10.12984/egeefd.556447

Özkan, G. (2009). Dicle University Institute of Education Sciences, (Published master’s thesis,), Diyarbakır. [Thesis No: 253082].

Pesen, C. (2007). Students’ misconceptions about fractions. Education & Science, 32(143), 79-88. http://egitimvebilim.ted.org.tr/index.php/EB/article/view/833

Pesen, C. (2008). Students’ learning difficulties and misconceptions in the representation of fractions on the number line. İnönü University Journal of Education Faculty, 9(15), 157-168. Retrieved from https://dergipark.org.tr/tr/pub/inuefd/issue/8708/108722

Pesen, C. (2021). Mathematics teaching in primary schools (1st–4th Grade) methods. Pegem Akademi.

Sarıer, Y. (2020). The effect of active teaching methods on mathematics achievement: a meta-analysis study. Bolu Abant İzzet Baysal University Journal of Education Faculty, 20(1), 115-132. https://doi.org/10.17240/aibuefd.2020.20.52925-526900

Sevencan, A. (2019). Analysis of postgraduate theses in the field of mathematics education in Turkey. Necmettin Erbakan University, Institute of Educational Sciences. (Published master’s thesis), Konya. [Thesis No: 552985].

Soylu, Y. & Soylu, C. (2005). Learning difficulties of fifth grade primary school students in fractions: ordering, addition, subtraction, multiplication, and problems related to fractions. Erzincan University Journal of Education Faculty, 7(2), 101-117. Retrieved from https://dergipark.org.tr/tr/pub/erziefd/issue/6005/80075

Şiap, İ. & Duru, A. (2004). Ability to use geometrical models in fractions. Gazi University Kastamonu Education Journal, 12(1), 89-96.

Şengül, E. (2005). Comparison of International Baccalaureate Primary Years Program and national curriculum program 4th grade student’s misconceptions on the topic of fractions. Bilkent University, Institute of Educational Sciences. (Unpublished master’s thesis), Ankara. [Thesis No: 395395].

Tabak, H., Ahi, B., Bozdemir, H. & Sarı, M.S. (2010). Modeling skills of 4th and 5th grade primary school students in mathematics lessons. Education Sciences, 5(4), 1513-1522. Retrieved from https://dergipark.org.tr/tr/pub/nwsaedu/issue/19822/212222

Turkish Language Institution (TLI). (2022). Current Turkish Dictionary. http://www.tdk.gov.tr/

Toptaş, V. & Gözel, E. (2018). Content analysis of postgraduate theses on mathematics anxiety in Turkey. Journal of Education, Theory and Practical Research, 4(3), 136-146. Retrieved from https://dergipark.org.tr/tr/pub/ekuad/issue/41379/500235

Tunç-Pekkan, Z. (2015). An analysis of secondary school children’s fractional knowledge depicted with cirle, rectangle, and number line representations. Educational Studies in Mathematics, 89(3), 419-441. https://doi.org/10.1007/s10649-015-9606-2

Ukdem, Ş. (2021). The effect of concrete and virtual manipulative assisted instruction practices in 3rd grade fraction on comprehension and motivation. Necmettin Erbakan University Institute of Education Sciences, (Unpublished master’s thesis), Konya. [Thesis No: 675662].

Ulutaş, F. & Ubuz, B. (2008). Research and trends in mathematics education: 2000-2006. Elementary Education Online, 7(3), 614-626. Retrieved from https://dergipark.org.tr/tr/pub/ilkonline/issue/8600/107083

Uslu , C.Ş. (2006). A comparison of secondary school students in grades 1 and 2 and high school students in grade 10 in terms of their deficiencies and misconceptions in basic mathematical concepts. Selçuk University Institute of Science, (Published master’s thesis), Konya. [Thesis No: 183224].

Yaşar, Ş. & Papatğa, E. (2015). An analysis of postgraduate theses on primary school mathematics lessons. Trakya University Journal of Education Faculty, 5(2), 113-124. Retrieved from https://dergipark.org.tr/tr/pub/trkefd/issue/21482/230218

Yazıcıoğlu, A., & Genç, G. (2021). Analysis of postgraduate theses in the field of classroom teaching. Manisa Celal Bayar University Journal of the Faculty of Education, 9(2), 1-14. https://doi.org/10.52826/mcbuefd.927793

Yıldırım, A. & Şimşek, H. (2016). Qualitative Research Methods in Social Sciences, (10th edition). Seçkin Yayıncılık.

Yiğit, Ö. (2008). The effect of using a fourth-grade fraction unit instructional software prepared according to the principles of programmed instruction on students’ achievement in individual and group teaching processes. Ege University Institute of Science, (Unpublished master’s thesis), İzmir. [Thesis No: 255484].

Yurtbakan, E. & İskenderoğlu, A.T. (2022). Solutions and models used by fourth-grade primary school students for questions on fractions. Kastamonu Education Journal, 30(1), 11-23. https://doi.org/10.24106/kefdergi.746656

Yurtsever, N. (2012). A study on fifth grade students mistakes, difficulties and misconceptions regarding basic fractional concepts and operations. Middle East Technical University, Institute of Social Sciences. (Published master’s thesis), Ankara. [Thesis No: 321086].

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Published

21-06-2023

How to Cite

ERDOĞAN, D., ÖZKAN, E., & ÖZKAN, N. (2023). Investigation of studies on fraction teaching in primary school. Pedagogical Perspective, 2(1), 36–56. https://doi.org/10.29329/pedper.2023.559.3

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